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NEET CHEMISTRYEasy

The percentages of C, H, and N in an organic compound are 40%, 13.3%, and 46.7% respectively. The empirical formula of the compound is:

A

C₃H₁₃N₃

B

CH₂N

C

CH₄N

D

CH₆N

Step-by-Step Solution

  1. Determine the number of moles of each element: Assume a 100 g100\text{ g} sample of the compound to directly convert percentages to mass.
  • Moles of Carbon (C): 40 g12 g/mol=3.33 mol\frac{40\text{ g}}{12\text{ g/mol}} = 3.33\text{ mol}
  • Moles of Hydrogen (H): 13.3 g1 g/mol=13.3 mol\frac{13.3\text{ g}}{1\text{ g/mol}} = 13.3\text{ mol}
  • Moles of Nitrogen (N): 46.7 g14 g/mol3.335 mol\frac{46.7\text{ g}}{14\text{ g/mol}} \approx 3.335\text{ mol}
  1. Determine the simplest molar ratio: Divide the mole values by the smallest number of moles calculated (3.33 mol3.33\text{ mol}).
  • Ratio for C: 3.333.33=1\frac{3.33}{3.33} = 1
  • Ratio for H: 13.33.334\frac{13.3}{3.33} \approx 4
  • Ratio for N: 3.3353.331\frac{3.335}{3.33} \approx 1
  1. Construct the Formula: The simplest whole number ratio of C:H:N is 1:4:11:4:1. Therefore, the empirical formula is CH4N\text{CH}_4\text{N}.
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